Continuously compounded interest is interest that is, hypothetically, computed and added to the balance of an account every instant. This is not actually possible, but continuous compounding is well-defined nevertheless as the upper bound of "regular" compound interest. The formula, is sometimes called the shampoo formula (PertŪ)

Thus A=Pe ^rt

where e = napier's number or euler's constamt

p = principal/initial investment

r=annual interest rate as a decimal

t = number of years

a = amount of money after t years

thus we plug in to get 4000=2000*e ^9.5t

= 4000 ~= 5436.6^9.5t.

You can solve for t from here

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